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122011143240 = 23357653222437
BaseRepresentation
bin111000110100001101…
…1100100110001001000
3102122221011111021101010
41301220123210301020
53444334323040430
6132015014123520
711546356414530
oct1615033446110
9378834437333
10122011143240
1147821122878
121b7913505a0
13b675a6375c
145c964a24c0
153291819cb0
hex1c686e4c48

122011143240 has 128 divisors (see below), whose sum is σ = 418966421760. Its totient is φ = 27845428224.

The previous prime is 122011143239. The next prime is 122011143253. The reversal of 122011143240 is 42341110221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437302 + ... + 659738.

It is an arithmetic number, because the mean of its divisors is an integer number (3273175170).

Almost surely, 2122011143240 is an apocalyptic number.

122011143240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122011143240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209483210880).

122011143240 is an abundant number, since it is smaller than the sum of its proper divisors (296955278520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122011143240 is a wasteful number, since it uses less digits than its factorization.

122011143240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223111 (or 223107 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 122011143240 its reverse (42341110221), we get a palindrome (164352253461).

The spelling of 122011143240 in words is "one hundred twenty-two billion, eleven million, one hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 653 840 1306 1959 2612 3265 3918 4571 5224 6530 7836 9142 9795 13060 13713 15672 18284 19590 22855 26120 27426 36568 39180 45710 54852 68565 78360 91420 109704 137130 182840 222437 274260 444874 548520 667311 889748 1112185 1334622 1557059 1779496 2224370 2669244 3114118 3336555 4448740 4671177 5338488 6228236 6673110 7785295 8897480 9342354 12456472 13346220 15570590 18684708 23355885 26692440 31141180 37369416 46711770 62282360 93423540 145251361 186847080 290502722 435754083 581005444 726256805 871508166 1016759527 1162010888 1452513610 1743016332 2033519054 2178770415 2905027220 3050278581 3486032664 4067038108 4357540830 5083797635 5810054440 6100557162 8134076216 8715081660 10167595270 12201114324 15251392905 17430163320 20335190540 24402228648 30502785810 40670381080 61005571620 122011143240